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Recently, a new approach for solving the three-body problem for (d,p) reactions in the Coulomb-distorted basis in momentum space was proposed. Important input quantities for such calculations are the scattering matrix elements for proton-…

Nuclear Theory · Physics 2015-06-22 L. Hlophe , V. Eremenko , Ch. Elster , F. M. Nunes , G. Arbanas , J. E. Escher , I. J. Thompson

A mixed basis approach based on density functional theory is employed for low dimensional systems. The basis functions are taken to be plane waves for the periodic direction multiplied by B-spline polynomials in the non-periodic direction.…

Computational Physics · Physics 2015-05-20 Chung-Yuan Ren , Chen-Shiung Hsue , Yia-Chung Chang

We study the long-time behavior of the (critical) Kohn--Sham equation in two and three dimensions, i.e.,\[ \mathrm{i} \partial_t {\gamma} = \Big[-\frac{1}{2}\Delta + \lambda \, |\cdot|^{-1} \ast \rho_{{\gamma}} + \mu \,…

Analysis of PDEs · Mathematics 2026-05-29 Masaki Kawamoto , Jinyeop Lee , Changhun Yang , Chanjin You

In this paper, we present a finite-element-extended boundary condition (FE-EBC) method for an efficient calculation of the electromagnetic wave scattering from inhomogeneous magneto-dielectric objects. To this end, we apply the hierarchical…

Computational Physics · Physics 2019-07-08 Ehsan Khodapanah

A central aim of multiscale modeling is to use results from the Schr\"odinger Equation to predict phenomenology on length scales that far exceed those of typical molecular correlations. In this work, we present a new approach rooted in…

Statistical Mechanics · Physics 2024-10-11 Anna T. Bui , Stephen J. Cox

The direct comparison of two different continuum discretization methods towards the solution of a composite particle scattering off a nucleus is presented. The first approach -- the Continumm-Discretized Coupled Channel method -- is based…

Nuclear Theory · Physics 2008-11-26 O. A. Rubtsova , V. I. Kukulin , A. M. Moro

We employ the non-perturbative time-dependent basis function (tBF) approach to study the scattering of the deuteron on $^{208}$Pb below the Coulomb barrier. We obtain the bound and discretized scattering states of the projectile, which form…

Nuclear Theory · Physics 2024-08-14 Peng Yin , Weijie Du , Wei Zuo , Xingbo Zhao , James P. Vary

The proton structure function is re-deduced from the data of deep inelastic electron-proton scattering after enhanced correction that is made due to the multiple scattering effect. The Glauber approach is used to account for the multiple…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. M. Hassan , W. R. El-Harby , R. W. El-Moualed And M. T. Hussein

We introduce the longitudinal and transverse static surface modes and use them to solve the full-wave electromagnetic scattering problem from penetrable objects. The longitudinal static modes are the eigenmodes with zero surface curl of the…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Carlo Forestiere , Giovanni Gravina , Giovanni Miano , Guglielmo Rubinacci , Antonello Tamburrino

Widely employed for the accurate solution of the electroencephalography forward problem, the symmetric formulation gives rise to a first kind, ill-conditioned operator ill-suited for complex modelling scenarios. This work presents a novel…

Numerical Analysis · Mathematics 2022-04-15 Viviana Giunzioni , John E. Ortiz G. , Adrien Merlini , Simon B. Adrian , Francesco P. Andriulli

We predict neutron-proton scattering cross-sections and polarization observables up to next-to-next-to-next-to leading order in a renormalization-group invariant description of the strong nucleon-nucleon interaction. Low-energy constants…

Nuclear Theory · Physics 2024-06-12 Oliver Thim , Andreas Ekström , Christian Forssén

Matrix elements of potential energy are examined in detail. We consider a model problem - a particle in a central potential. The most popular forms of central potential are taken up, namely, square-well potential, Gaussian, Yukawa and…

Nuclear Theory · Physics 2019-12-18 Yu. A. Lashko , V. S. Vasilevsky , G. F. Filippov

High frequency integral equation methodologies display the capability of reproducing single-scattering returns in frequency-independent computational times and employ a Neumann series formulation to handle multiple-scattering effects. This…

Numerical Analysis · Mathematics 2018-01-16 Yassine Boubendir , Fatih Ecevit , Fernando Reitich

We present a closed analytical formula for the scattering intensity from charged hard sphere fluids with any arbitrary number of components. Our result is an extension to ionic systems of Vrij's analogous expression for uncharged hard…

Statistical Mechanics · Physics 2009-10-30 Domenico Gazzillo , Achille Giacometti , Flavio Carsughi

We propose a novel scheme to normalize scattering modes of the electromagnetic field. By relying on analytical solutions for Maxwell's equations in the homogenous medium outside the scatterer, we derive normalization conditions that only…

Optics · Physics 2018-06-06 J. Oppermann , J. Straubel , I. Fernandez-Corbaton , C. Rockstuhl

We present a perturbative technique for modeling the scattering of light by a nonlinear material. This approach eliminates the need for an iterative algorithm to solve the fully coupled nonlinear problem. We demonstrate its effectiveness in…

Optics · Physics 2026-04-01 Jérémy Itier , Gilles Renversez , Frédéric Zolla

A deep learning scheme is proposed to solve the electromagnetic (EM) scattering problems where the profile of the dielectric scatterer of interest is incomplete. As a compensation, a limited amount of scattering data is provided, which is…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Ji-Yuan Wang , Xin-Yue Lou , Liang Zhang , Yun-Chuan Wang , Xiao-Min Pan

The purpose of this paper is to present an interpretation for the decomposition of the tensor product of two or more irreducible representations of GL(N) in terms of a system of quantum particles. Our approach is based on a certain…

Quantum Algebra · Mathematics 2007-05-23 Oleg Gleizer , Alexander Postnikov

We propose a method for characterizing a photodetector by directly reconstructing the Wigner functions of the detector's Positive-Operator-Value-Measure (POVM) elements. This method extends the works of S. Wallentowitz and Vogel [Phys. Rev.…

Quantum Physics · Physics 2019-09-25 Rajveer Nehra , Kevin Valson Jacob

The present paper introduces a new multi-reference perturbation approach developed at second order, based on a Jeziorsky-Mokhorst expansion using individual Slater determinants as perturbers. Thanks to this choice of perturbers, an…

Chemical Physics · Physics 2017-06-28 Emmanuel Giner , Celestino Angeli , Yann Garniron , Anthony Scemama , Jean-Paul Malrieu